Cod sursa(job #2618558)

Utilizator nicolaefilatNicolae Filat nicolaefilat Data 25 mai 2020 13:50:16
Problema Cuplaj maxim in graf bipartit Scor 20
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.66 kb
#include <iostream>
#include <fstream>
#include <vector>
#include <assert.h>

const int MAXN = 10001;

using namespace std;

ifstream in("cuplaj.in");
ofstream out("cuplaj.out");

vector<int>graf[MAXN];
int n,m,boss_left[MAXN],boss_right[MAXN];
bool viz[MAXN];

void afis(){

    cout<<"cuplajul este : \n";
    for(int i = 1; i <= n; i++){
        if(boss_right[i])
            cout<<i<<" "<<boss_right[i]<<endl;
    }
    cout<<"======="<<endl;
}

bool cuplaj(int nod){
    viz[nod] = true;
    for(auto vecin : graf[nod]){
        if(boss_left[vecin] == 0){
            boss_left[vecin] = nod;
            boss_right[nod] = vecin;
            return true;
        }
    }
    for(auto vecin : graf[nod]){
        if(!viz[boss_right[vecin]] && cuplaj(boss_right[vecin])){
            boss_left[vecin] = nod;
            boss_right[nod] = vecin;
            return true;
        }
    }

    return false;
}

int main()
{
    int muchii;
    in>>n>>m>>muchii;

    for(int i = 1; i <= muchii; i++){
        int x,y;
        in>>x>>y;
        graf[x].push_back(y);
    }
    int cnt = 0;
    while(true){
        cnt = 0;
        for(int i = 1; i <= n; i++){
            if(boss_right[i])
                cnt++;
        }
        int copie = cnt;
        for(int i = 1; i <= n; i++)
            cuplaj(i);
        cnt = 0;
        for(int i = 1; i <= n; i++){
            if(boss_right[i])
                cnt++;
        }
        if(copie == cnt)
            break;
    }

    out<<cnt<<"\n";
    for(int i = 1; i <= n; i++)
        if(boss_right[i])
            out<<i<<" "<<boss_right[i]<<"\n";
    return 0;
}